# Difference Between Brute Force and Exhaustive Search

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## Introduction

Artificial intelligence uses brute force and exhaustive search. Both have their uses, but how do they differ? You will learn how to use specific and brute force searches to solve your problem set in this article. Then, we will glimpse some of the issues you might encounter when using these search algorithms, particularly in business contexts. To conclude, we will give you examples of problems that benefit from exhaustive search and some that work better with brute force search.

When trying to solve a problem, you might use an exhaustive search known as brute force. But what's the contrast between these two procedures? In this blog post, we'll discuss the pros and cons of each and help you decide which one resolve work is most suitable for your project.

Brute force is an approach that relies on repetition. With this approach, it doesn't matter if you try every possible combination or not - either way, it can work for solving a problem with brute force.

The advantages of using this technique are that it's quick and effective when there are few possible solutions to the problem. For example, if there are five keys in total but only three combinations where they can be placed on a keychain, then brute force would be appropriate because it doesn't take much time or effort to cycle through all five possibilities.

## Difference Between Exhaustive Search vs. Brute Force search in Tabular Form

 Parameters of Comparison Exhaustive Search Brute Force search Define Exhaustive search is a type of search that is guaranteed to find the optimal solution to a problem, given enough time and resources Brute force search is a type of algorithm that, as the name suggests, uses brute force to find a solution Search type Uniform search Non uniform search Time Less time Time-consuming method Problem solving Huge problem is also solved Finite size problem is solved

## What is Exhaustive Search?

In mathematics, computer science, and operations research, exhaustive search, also called complete enumeration, brute force search, or generate and test, is a general problem-solving technique that systematically enumerates all possible candidates for the solution and checks whether each candidate satisfies the problem's statement.

### Types of Exhaustive Searches

There are several exhaustive searches, like complete enumeration, tree search, and divide and conquer. With a total count, you list all possible solutions and choose the best one. Tree search is when you generate possible solutions and select the best from those; divide and conquer is when you split a problem into several minor issues and solve each individually

### Which type of Search is Exhaustive Search?

Exhaustive search is a type of search that is guaranteed to find the optimal solution to a problem, given enough time and resources. This contrasts with brute force search, which may see a sub-optimal solution or get stuck in an infinite loop. Exhaustive search is often used in academic settings, as it provides a solid guarantee that the best possible answer will be found. However, it is not practical for most real-world problems due to its high computational cost. For example, an exhaustive search of all possible routes between two cities would take too long to help plan a trip. When encountering a complicated problem, it is usually best to use a heuristic approach instead of exhaustively searching through all possibilities.

### Searches of Exhaustive Search

An exhaustive search is a type of brute force search in which every possible solution is tried until the correct one is found. This can be very time-consuming, especially if there are many possibilities. In contrast, a brute force search tries every opportunity until it finds the correct answer, without regard for efficiency.

### The Procedure of Exhaustive Search

• You then narrow down the list by eliminating anything that doesn't meet the criteria for a solution.
• You keep eliminating options until only one possible solution remains.
• To check if your potential solution is correct, plug it back into the problem to see if it works.
• If it doesn't work, go back to step two and continue narrowing down your options until you find a working solution.
• Exhaustive search is complete once you've found a working solution or have eliminated all possible solutions.
• This method is guaranteed to find a correct solution but can be very time-consuming, especially for significant problems with many possible answers.

### Time of Exhaustive Search

Exhaustive search is the way to go if you're looking for an algorithm guaranteed to find the best solution to a problem. An extensive search ensures that it will find the optimal solution, but it can be very time-consuming. For example, imagine you are trying to find the shortest path between two points on a map. An exhaustive search would consider every single route before settling on the shortest one.

### Space Need in Exhaustive Search

Every possible combination of items is considered in an exhaustive search, also known as a complete search. For example, if you're looking for a specific word in a dictionary, you would start at the beginning and check every word until you find the one you were looking for. This can be time-consuming, but it's guaranteed to find the item if it exists.

### Applications of Exhaustive Search

• Exhaustive search is often used in planning and scheduling problems, such as finding the best time to organize a session that works for everyone's schedule.
• It can also be used in combinatorial optimization problems, like finding the shortest path between two points or the cheapest way to route traffic through a network.
• In cryptography, exhaustive search is sometimes used to brute force crack ciphers or codes.
• Another application is in statistical modeling, where exhaustively searching through all possible models is not feasible, so heuristics are used to try and find a good approximation of the global optimum.

## What is Brute Force Search?

Brute force search is a type of algorithm that, as the name suggests, uses brute force to find a solution. In other words, it tries every possible combination until it finds the correct one. It's not the most efficient method, but it can be effective if used correctly.

### Which Type of Search is Brute Force Search?

There are two main types of search algorithms: brute force and exhaustive. Brute force is a technique that tries every possible solution until it finds the correct one. A thorough search is a method that systematically checks every possibility until it finds the best solution.

### Searches of Brute Force Search

In computer science, brute force is a simple, straightforward approach to solving a problem. It involves trying every possible solution until you find one that works. It's not always the most efficient method, but it's guaranteed to find a solution if one exists.

### The Procedure of Brute Force Search

• To start, you need a list of items to search through and a goal condition that each item must meet.
• The first item on the list is checked to see if it meets the goal.
• If it does, it is returned as the solution; if not, the next item on the list is checked.
• This process continues until all items have been checked without finding a solution or solution is found.
• When all items have been checked without finding a solution, no solution exists for the problem and returns failure.
• Otherwise, a solution is found and returned success.

### Time of Brute Force Search

There are two main types of search algorithms: brute force and exhaustive. Exhaustive search is a complete search through all possible solutions, while brute force relies on incremental improvements until a solution is found. The time complexity of the exhaustive search is O(n), while brute force is O(n^2).

### Space Need in Brute Force Search

Brute force search is a problem-solving method in which all possible solutions are tried until the correct one is found. It is often used when no other way is applicable or when no different process is known. Exhaustive search, on the other hand, is a method of problem-solving in which all possible solutions are systematically generated and then checked for correctness. A thorough search is guaranteed to find a solution if one exists, but it may take a long time. The significant difference between brute force and exhaustive search is that it tries every possible solution until it finds the correct one. In contrast, a thorough search systematically generates and checks all possible solutions.

### Applications of Brute Force Search

• A brute force search is an exhaustive search through all possible solutions until the correct answer is found.
• This technique is often used in mathematical problems with no obvious exploitation pattern.
• It can also be used to solve problems in computer science, such as cracking a password or finding the shortest path in a graph.
• While brute force searches are guaranteed to find a solution eventually, they can be time-consuming and are not always practical.
• In contrast, exhaustive search is a technique that guarantees to find the optimal solution but may not be feasible for large problem sets.
• This method works by considering all possible solutions and choosing the best one based on some criteria.

## Main Differences Between Exhaustive Search and Brute Force Search in Points

• Exhaustive search is a problem-solving method that involves looking at every possible solution until the correct one is found.
• Brute force search is a problem-solving method that involves trying every possible combination until the correct one is found.
• Exhaustive search is more organized and systematic, while brute force search is more random and can be less efficient.
• Exhaustive search always finds the correct solution, while brute force search may not always find the correct answer.
• Exhaustive search can be used for optimization problems, while brute force search cannot be used for optimization problems.
• Brute force search can be inefficient when the number of steps to find the solution gets exponentially large.
• If a brute force algorithm only tries to solve one problem, it will never exhaust all possibilities because it does not systematically check through all potential solutions to see if there are any other possible solutions with higher priority than the current best solution.
• If an exhaustive algorithm only tries to solve one problem, it will exhaust all possibilities because it systematically checks through all potential solutions to see if there are any other possible solutions with higher priority than the current best solution (note: this also means that exhaustive algorithms take longer).

## Conclusion

There are a few critical differences between brute force and exhaustive search algorithms. Most notably, brute force algorithms do not consider domain knowledge, while exhaustive search algorithms do. This means brute force algorithms are usually much less efficient than thorough search algorithms. Additionally, brute force algorithms typically have to visit every possible solution, while exhaustive search algorithms stop as soon as a good solution is found. Finally, brute force algorithms can be used to solve problems that cannot be solved by other means, while an exhaustive search can only be used when it is guaranteed to find a solution.

### Are brute force and exhaustive search the same?

No, brute force and exhaustive search are not the same. They are both methods used to solve problems but differ in how they approach the problem. For example, with a computer program designed to determine what word was entered by a user based on possible letters, an exhaustive search would start with a and continue through every letter until it found the right word. A brute-force method would input all 26 letters of the alphabet in order until it found the right word. In general, a brute-force method is quicker because it is faster than trying every possible option; however, if there are many options for solutions or if one of those options has been eliminated by other factors (such as probability), then the exhaustive search is preferred over brute force.

### Is exhaustive search a brute force algorithm?

No, exhaustive search is not a brute force algorithm. While both algorithms are used to find solutions to problems, they go about it differently.

### What is the meaning of an exhaustive search?

Exhaustive search is a problem-solving method where all possible solutions are considered. This can be done by listing all possibilities or using a systematic approach to check each option until a solution is found. Exhaustive search is often used in mathematics and computer science, as it guarantees that a solution will be found if one exists.

### Are the brute force method and linear search the same?

Most people use the terms brute force and exhaustive search interchangeably, but there is a big difference between the two methods. Brute force is a trial-and-error method where you try every possible combination until you find the one that works. Exhaustive search is a systematic, step-by-step approach where you systematically eliminate possibilities until you're left with the only correct solution.

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"Difference Between Brute Force and Exhaustive Search." Diffzy.com, 2023. Mon. 20 Mar. 2023. <https://www.diffzy.com/article/difference-between-brute-force-and-exhaustive-search-952>.

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